[go: up one dir, main page]

Search a number
-
+
1341450540 = 22325193710601
BaseRepresentation
bin100111111110100…
…1110100100101100
310110111011202012100
41033331032210230
510221402404130
6341035535100
745146066343
oct11775164454
93414152170
101341450540
11629239711
123152ba490
13184bbbb21
14ca230b5a
157cb7bc60
hex4ff4e92c

1341450540 has 144 divisors (see below), whose sum is σ = 4399405920. Its totient is φ = 329702400.

The previous prime is 1341450533. The next prime is 1341450541. The reversal of 1341450540 is 450541431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1341450541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121240 + ... + 131840.

It is an arithmetic number, because the mean of its divisors is an integer number (30551430).

Almost surely, 21341450540 is an apocalyptic number.

1341450540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199702960).

1341450540 is an abundant number, since it is smaller than the sum of its proper divisors (3057955380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1341450540 is a wasteful number, since it uses less digits than its factorization.

1341450540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1341450540 is about 36625.8179430849. The cubic root of 1341450540 is about 1102.8714345385.

Adding to 1341450540 its reverse (450541431), we get a palindrome (1791991971).

The spelling of 1341450540 in words is "one billion, three hundred forty-one million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 10601 12654 14060 21090 21202 25308 31635 31803 42180 42404 53005 63270 63606 95409 106010 126540 127212 159015 190818 201419 212020 318030 381636 392237 402838 477045 604257 636060 784474 805676 954090 1007095 1176711 1208514 1568948 1812771 1908180 1961185 2014190 2353422 2417028 3021285 3530133 3625542 3922370 4028380 4706844 5883555 6042570 7060266 7251084 7452503 7844740 9063855 11767110 12085140 14120532 14905006 17650665 18127710 22357509 23534220 29810012 35301330 36255420 37262515 44715018 67072527 70602660 74525030 89430036 111787545 134145054 149050060 223575090 268290108 335362635 447150180 670725270 1341450540